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10000314134430 = 2353137290622323
BaseRepresentation
bin1001000110000110000100…
…1010111110111110011110
31022102000120002022221020220
42101201201022332332132
52302321120404300210
633134025250022210
72051333051423154
oct221414112767636
938360502287226
1010000314134430
113206122691954
121156164b77966
13577044264999
14268036b413d4
151251e77e4c70
hex918612bef9e

10000314134430 has 64 divisors (see below), whose sum is σ = 25444565710848. Its totient is φ = 2510976862080.

The previous prime is 10000314134423. The next prime is 10000314134443. The reversal of 10000314134430 is 3443141300001.

It is a super-2 number, since 2×100003141344302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10000314134430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145276752 + ... + 145345571.

It is an arithmetic number, because the mean of its divisors is an integer number (397571339232).

Almost surely, 210000314134430 is an apocalyptic number.

10000314134430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000314134430 is an abundant number, since it is smaller than the sum of its proper divisors (15444251576418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000314134430 is a wasteful number, since it uses less digits than its factorization.

10000314134430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290622401.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10000314134430 its reverse (3443141300001), we get a palindrome (13443455434431).

The spelling of 10000314134430 in words is "ten trillion, three hundred fourteen million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 3441 5735 6882 11470 17205 34410 290622323 581244646 871866969 1453111615 1743733938 2906223230 4359334845 8718669690 9009292013 10753025951 18018584026 21506051902 27027876039 32259077853 45046460065 53765129755 54055752078 64518155706 90092920130 107530259510 135139380195 161295389265 270278760390 322590778530 333343804481 666687608962 1000031413443 1666719022405 2000062826886 3333438044810 5000157067215 10000314134430